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Popular >

derivative of e^{-5x^3-2x^2}

Solution

\frac{d}{d x} (e^{- 5 x^{3} - 2 x^{2}})

Solution

e^{- 5 x^{3} - 2 x^{2}} (- 15 x^{2} - 4 x)

Solution steps

\frac{d}{d x} (e^{- 5 x^{3} - 2 x^{2}})

Apply the chain rule:

e^{- 5 x^{3} - 2 x^{2}} \frac{d}{d x} (- 5 x^{3} - 2 x^{2})

= e^{- 5 x^{3} - 2 x^{2}} \frac{d}{d x} (- 5 x^{3} - 2 x^{2})

\frac{d}{d x} (- 5 x^{3} - 2 x^{2}) = - 15 x^{2} - 4 x

= e^{- 5 x^{3} - 2 x^{2}} (- 15 x^{2} - 4 x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of e^{-5x^3-2x^2} ?
The derivative of e^{-5x^3-2x^2} is e^{-5x^3-2x^2}(-15x^2-4x)
What is the first derivative of e^{-5x^3-2x^2} ?
The first derivative of e^{-5x^3-2x^2} is e^{-5x^3-2x^2}(-15x^2-4x)